Statement of a problem № 42043


A steam pipe with a radius of 2.00 cm, carrying steam at 140oC, is surrounded by a cylindrical jacket with inner and outer radii 2.00 cm and 4.00 cm and made of a type of cork with thermal conductivity 4.00 X 10-2 W /m. K. This in turn is surrounded by a cylindrical jacket made of a brand of Styrofoam with thermal conductivity1.00 X 10-2 W/m • K and having inner and outer radii 4.00 cm and 6.00 cm (Fig. 17.35). The outer surface of the Styrofoam is in contact with air at 15°C. Assume that this outer surface has a temperature of 15°C. (a) What is the temperature at a radius of 4.00 cm, where the two insulating layers meet? (b) What is the total rate of transfer of beat out of a 2.00-m length of pipe? (Hint: Use the expression derived in part (c) Of challenge Problem 17.122.) 

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